HCF & LCM MCQ Set 5

HCF & LCM MCQ SET 5

1. The LCM of the two numbers is 12 times their HCF . If the sum of LCM and HCF is 169 and the sum of the numbers is 91 , find the difference between the numbers .

(a) 13

(b) 58

(c) 72

(d) 66

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Answer: A

2. The HCF and the LCM of two numbers are 5 and 120 , respectively . If the sum of the two numbers is 55 , then the sum of the reciprocals of these two numbers is equal to :

(a) 55/601

(b) 11/120

(c) 120/11

(d) 601/55

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Answer: B

3. The sum of two numbers is 1215 and their HCF is 81 . If the numbers lie between 500 and 700 , then the sum of the reciprocals of the number is ……

(a) 5/702

(b) 5/378

(c) 5/1512

(d) 5/1188

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Answer: C

4. Two numbers are in the ratio 7 : 11 . If their HCF is 28 ,  then the sum of the two numbers is:

(a) 196

(b) 504

(c) 112

(d) 308

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Answer: C

5. Three numbers are in the ratio 1/2 : 2/3 : 3/4 . If the difference between the greatest number and the smallest number is 33 , then HCF of the three numbers is :

(a) 9

(b) 5

(c) 13

(d) 11

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Answer: D

6. The ratio of two numbers 9 : 14 and their LCM is 1008 . The numbers are :

(a) 63 , 98

(b) 72 , 112

(c) 81 , 126

(d) 54 , 105

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Answer: B

7. The HCF of two numbers is 29 and the other two factors of their LCM are 15 and 13 . The larger of the two numbers is :

(a) 435

(b) 377

(c) 406

(d) 464

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 Answer: A

8. The sum of LCM and HCF of two numbers is 4956 . Those numbers have a ratio of 11 : 16 . What’s the difference between LCM and HCF of two numbers?

(a) 4480

(b) 4620

(c) 4780

(d) 4900

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Answer: D

9. The LCM of 165 , 176 , 385 and495 is k . When k is divided by the HCF of the numbers , the quotient is p . What is the value of p?

(a) 2520

(b) 5040

(c) 6720

(d) 3360

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Answer: B

10. Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280 . What is their HCF ?

(a) 60

(b) 69

(c) 75

(d) 57

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Answer: B